Nonlocal Controllability of Semilinear Dynamic Systems with Fractional Derivative in Banach Spaces

JinRong Wang (), Zhenbin Fan () and Yong Zhou ()
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JinRong Wang: Guizhou University
Zhenbin Fan: Changshu Institute of Technology
Yong Zhou: Xiangtan University

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 1, No 18, 292-302

Abstract: Abstract In this paper, we establish two sufficient conditions for nonlocal controllability for fractional evolution systems. Since there is no compactness of characteristic solution operators, our theorems guarantee the effectiveness of controllability results under some weakly compactness conditions.

Keywords: Nonlocal controllability; Caputo fractional derivative; Equicontinuity; Measure of noncompactness; Mönch fixed point theorems (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s10957-012-9999-3

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